1357147872000 has 720 divisors, whose sum is σ = 5070440767392. Its totient is φ = 360469094400.

The previous prime is 1357147871983. The next prime is 1357147872013. The reversal of 1357147872000 is 2787417531.

1357147872000 is a `hidden beast` number, since 1 + 3 + 571 + 4 + 7 + 8 + 72 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 759455107 + ... + 759456893.

Almost surely, 2^{1357147872000} is an apocalyptic number.

1357147872000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1357147872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535220383696).

1357147872000 is an abundant number, since it is smaller than the sum of its proper divisors (3713292895392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1357147872000 is an equidigital number, since it uses as much as digits as its factorization.

1357147872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 1357147872000 in words is "one trillion, three hundred fifty-seven billion, one hundred forty-seven million, eight hundred seventy-two thousand".